Question

International Paper Company has four warehouses at different cities: Buffalo, Detroit, Pittsburgh and Raleigh. They provide...

International Paper Company has four warehouses at different cities: Buffalo, Detroit, Pittsburgh and Raleigh. They provide paper to five book publishers in Boston, New York, Chicago, Indianapolis and Memphis.


The costs of shipping one box of paper, the amount of paper (in boxes) available at each warehouse, and the amount of paper ordered (in boxes) by each publisher are found in the table below:

From / To

Boston

New York

Chicago

Indianapolis

Memphis

Supply

Buffalo

9

7

11

12

13

1100

Detroit

12

11

10

10

8

1400

Pittsburgh

11

9

9

10

10

900

Raleigh

6

5

9

8

7

600

Demand

1300

600

600

800

700

Amount Shipped from
Buffalo to Boston =


Buffalo to New York =


Detroit to Indianapolis =


Detroit to Memphis=


Pittsburgh to Chicago=


Pittsburgh to Indianapolis=


Raleigh to Boston=


Raleigh to Indianapolis =




The Total Shipping Costs =

(Leave off $ Sign and Commas )
Hint: The Cost is between 33200 and 33800

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Demand = Supply =4000 (Balanced assignment problem)

Please find below the answer:

Buffalo to Boston = 500
Buffalo to New York = 600
Detroit to Indianapolis = 700
Detroit to Memphis= 700
Pittsburgh to Chicago= 600
Pittsburgh to Indianapolis= 100
Raleigh to Boston= 600
Raleigh to Indianapolis = 0

In red are the units transported from to a location.

Notes to Solution:

  • The lowest shipping cost is $5 and then $6 from Raleigh to NY and Boston respectively. If we assign supply from Raleigh to NY, the cost at Boston will be up by min $3 per shipping unit (9-6 = 3). Hence, we assign all supply from Raleigh to Boston. This exhausts supply at Raleigh.
  • Next lowest shipping cost is $7. We supply 600 units from Buffalo to NY. The next is $8 and we supply 700 units from Detroit to Memphis. The next lowest cost is $9 and we supply 500 units from Buffalo to Boston. This exhausts supply at Buffalo. Similarly, at $9 , 600 units are supplied from Pittsburg to Chicago.
  • Next lowest shipping cost is $10 at which 700 units from Detroit are moved to Indianapolis and 100 are moved from Pittsburg to Indianapolis. This exhausts supply at Detroit.
  • Balance 200 is moved from Boston to Pittsburg.

Total cost = 9*500+11*200+6*600+7*600+9*600+10*700+10*100+8*700 = $33500

Add a comment
Know the answer?
Add Answer to:
International Paper Company has four warehouses at different cities: Buffalo, Detroit, Pittsburgh and Raleigh. They provide...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. ABC pharmaceutical Company has four factories supplying four warehouses. The company’s management hires you as...

    1. ABC pharmaceutical Company has four factories supplying four warehouses. The company’s management hires you as consultant to determine a minimum-cost shipping schedule for its monthly output to the warehouses. Factory supply, warehouse demands, and shipping cost per case are shown below. Factory Supply Warehouse Demand Indianapolis 15 Columbus 10 Phoenix 6 St. Louis 12 New York 14 Denver 15 Atlanta 11 Los Angeles 9 Shipping Costs per case (In Dollars0 From To Columbus To St. Louis To Denver To...

  • M4_A2. Jackson Paper Mills, Inc., has plants in Boone, NC and Augusta, Georgia. Warehouses are located...

    M4_A2. Jackson Paper Mills, Inc., has plants in Boone, NC and Augusta, Georgia. Warehouses are located in Tampa, FL and Winchester, VA. Distributors are located in Detroit, MI; Knoxville, TN; and New Orleans, LA. Products are shipped from the plants to the warehouses and from the warehouses to the distributors. There is no storage at the warehouses so any product entering the warehouses must be shipped to distributors. The plant capacities and distributor demands are shown in the tables below:...

  • How does cellphone service compare between different cities? The data stored in CellService represent the rating...

    How does cellphone service compare between different cities? The data stored in CellService represent the rating of Verizon and AT&T in 22 different cities. (Data extracted from "Best Phones and Service," Consumer Reports, January 2012, p. 28, 37.) At the 0.05 level of significance, is there evidence of a difference in the mean cellphone service rating between Verizon and AT&T? You need to download "CellService” data file. End of document Le L show Queries ILS Prope Prope Refresh File Home...

  • QUESTION 9 How much time do Americans living in or near cities spend waiting in traffic,...

    QUESTION 9 How much time do Americans living in or near cities spend waiting in traffic, and how much does waiting in traffic cost them per year? The file here contains this cost for 30 cities. For the cost sitting in traffice, compute the balancing point, the value that occurs more than any other, the middle value, the standard deviation, skewness, kurtosis, coefficient of variation and range Balancing point The value that occurs more than any other = The middle...

  • It is commonly believed that cities with wind speeds of 10 or more have different average...

    It is commonly believed that cities with wind speeds of 10 or more have different average temperature from the cities with winds of less than 10 (mp/h). Use Pollutiondata and your statistical expertise to answer the questions: Is this a reasonable belief? 4. What test/procedure did you perform? a. One-sided t-test b. Two-sided t-test c. Regression d. ​​Confidence interval 5. Statistical Interpretation a. Since P-value is small we are confident that the slope is not zero. b. Since P-value is...

  • Question 2: How do the average credit scores of people living in various cities in the...

    Question 2: How do the average credit scores of people living in various cities in the US differ? The file Credit Score Data of 143 American cities is provided in Canvas. Construct a histogram Create a Five Summary Report Calculate Mean, Variance and Standard Deviation   What conclusion can you reach concerning the average credit scores of people living in different American cities? City State Average Credit Score Detroit Mi 743 New York NY 762 Minneapolis MN 787 Hartford CT 774...

  • Instructions for using the SAP ERP system start on page 13 of this document. Account Balances...

    Instructions for using the SAP ERP system start on page 13 of this document. Account Balances as of December 31, 2018 Debit Balance Credit Balance 100000 Bank Account $277,518 110100 Accounts Receivable (Direct Posting Account) 92,670 110150 Allowance for Bad Debts 2,500 200600 Inventory-Operating Supplies 8,832 200900 Inventory-Raw Materials (Direct Post) 52,000 200910 Inventory-Finished Goods (Direct Post) 281,298 200920 Inventory-Trading Goods (Direct Post) 66,474 210000 Prepaid Insurance 5,000 212000 Prepaid Advertising 1,100 220110 Land (Direct Post) 425,000 220210 Production Machinery,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT